Hi I b ert H ua n g Transform and Its Applications - دانلود رایگان



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Hi I b ert-H ua n g Transform and Its ApplicationsEmpirical mode decomposition (EMD) and Hilbert spectral analysis (HSA) represent
a desperate attempt to break the suffocating hold on data analysis by the twin
assumptions of linearity and stationarity. To analyze the data from nonlinear and
non-stationary processes, various attempts such as Spectrograms, Wavelet analysis,
and the Wigner-Ville distribution have been made, but the EMD-HSA approach is
unique and different from the existing methods of data analysis. The EMD-HAS is
truly an adaptive time-frequency analysis. It does not require an a priori functional
basis. Instead, the basis functions are derived adaptively from the data by the EMD
sifting procedures; the instantaneous frequencies are computed from derivatives of
the phase functions of the Hilbert transform of the basis functions; the final result
is presented in the time-frequency space. The EMD-HSA is a magnifying glass for
analyzing the data from nonlinear and non-stationary processes. The EMD-HSA
results are intriguing and are no longer shackled by spurious harmonics (the artifacts
of imposing a linearity property on a nonlinear system) or limited by the
uncertainty principle (the consequence of Fourier transform pairs in data analysis)


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